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Finding the Third Proportional to 59,361 and 127,938

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Solution

The third proportional to 59,361 and 127,938 is: 275,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,361 : 127,938 = 127,938 : x
  2. Step 2: Convert to fraction form
    59,361/127,938 = 127,938/x
  3. Step 3: Cross multiply
    59,361x = 127,938 × 127,938
  4. Step 4: Simplify right side
    59,361x = 16,368,131,844
  5. Step 5: Solve for x
    x = 16,368,131,844/59,361
  6. Step 6: Final answer
    x = 275,738.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.